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Given the following language:

Lf = { p(m) | The language of M is finite }

Is Lf recognizable? if not, prove using reduction. Otherwise, build a NDTM which recognizes it.

I'm kinda sure that Lf can not be recognized but I ain't sure how to prove it.

Any suggestions ?

Rouki
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    This question appears to be off-topic because it is about computing theory and not programming. Try programmers.stackexchange.com or maybe math.stackexchange.com? – amalloy May 27 '14 at 00:58

1 Answers1

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Pick a language you know is not recognizable and find a reduction to Lf. The co-halting problem, for example, is not recognizable.